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Finding the Fourth Proportional to 27,904, 38,507.58 and 15,157.24

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Solution

The fourth proportional to 27,904, 38,507.58 and 15,157.24 is: 20,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904 : 38,507.58 = 15,157.24 : x
  2. Step 2: Convert to fraction form
    27,904/38,507.58 = 15,157.24/x
  3. Step 3: Cross multiply
    27,904x = 38,507.58 × 15,157.24
  4. Step 4: Simplify right side
    27,904x = 583,668,631.88
  5. Step 5: Solve for x
    x = 583,668,631.88/27,904
  6. Step 6: Final answer
    x = 20,917.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.